Question

If y=5 when x=6, how do you find x when y=2 given y varies inversely as x?

Answer 1

`x=15`

Explanation:

`y" "` varies inversely with `x=>y prop 1/x`

`:.y=k/x" "` where `k" "` is the constant of proportionality

to find `" "k`

`y=5,x=6`

`5=k/6=>k=30`

`:.y=30/x`

`y=2`

`2=30/x`

`x=30/2=15`